Magma V2.19-8 Tue Aug 20 2013 17:58:17 on localhost [Seed = 2816873470] Type ? for help. Type -D to quit. Loading file "10^2_64__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_64 geometric_solution 12.40477830 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 9 0 -9 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519984844871 0.591750238966 0 4 5 5 0132 0132 0213 0132 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -9 0 9 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581030795696 0.476792985818 6 0 4 7 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -10 10 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747761798844 1.451511612692 8 9 10 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -9 9 -9 9 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638164267330 0.642076746522 11 1 0 2 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 -10 0 0 10 -9 9 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.039969689741 1.183500477931 8 1 1 11 2103 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -9 0 9 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.039969689741 1.183500477931 2 11 12 8 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -10 0 0 10 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.116211486149 0.668742168710 10 9 2 10 1230 0213 0132 0132 0 0 1 0 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -10 9 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455553907946 0.719522747453 3 11 5 6 0132 1302 2103 2103 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 0 -10 0 0 0 0 -1 1 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519984844871 0.591750238966 12 3 7 12 1302 0132 0213 2310 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455553907946 0.719522747453 12 7 7 3 2103 3012 0132 0132 0 0 0 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9 9 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455553907946 0.719522747453 4 6 5 8 0132 0132 0132 2031 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 10 0 0 -10 10 -10 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.971496457563 0.843988440122 9 9 10 6 3201 2031 2103 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -9 0 10 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371859751795 0.992113533198 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_5'], 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0101_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_11'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_1001_11'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : negation(d['c_1001_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_3']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0110_6' : d['c_0101_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_5'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_6'], 'c_0011_6' : d['c_0011_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_11']), 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_11, c_0101_3, c_0101_6, c_1001_0, c_1001_1, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 44783/2500904*c_1100_0^5 + 2798907/20007232*c_1100_0^4 - 310787/625226*c_1100_0^3 + 8311111/10003616*c_1100_0^2 - 9513295/20007232*c_1100_0 + 3351743/40014464, c_0011_0 - 1, c_0011_10 + 65/497*c_1100_0^5 - 332/497*c_1100_0^4 + 926/497*c_1100_0^3 - 739/497*c_1100_0^2 + 953/994*c_1100_0 - 69/497, c_0011_12 + 1, c_0011_3 + c_1100_0, c_0011_5 + 198/8449*c_1100_0^5 - 262/8449*c_1100_0^4 + 1108/8449*c_1100_0^3 - 1670/8449*c_1100_0^2 + 10581/8449*c_1100_0 - 3261/8449, c_0101_0 + 198/8449*c_1100_0^5 - 262/8449*c_1100_0^4 + 1108/8449*c_1100_0^3 - 1670/8449*c_1100_0^2 + 10581/8449*c_1100_0 - 11710/8449, c_0101_11 - 1, c_0101_3 - 1912/8449*c_1100_0^5 + 7992/8449*c_1100_0^4 - 20770/8449*c_1100_0^3 + 6568/8449*c_1100_0^2 - 25111/8449*c_1100_0 - 2818/8449, c_0101_6 + 1906/8449*c_1100_0^5 - 7472/8449*c_1100_0^4 + 17152/8449*c_1100_0^3 + 5260/8449*c_1100_0^2 + 13269/8449*c_1100_0 + 12902/8449, c_1001_0 - 1912/8449*c_1100_0^5 + 7992/8449*c_1100_0^4 - 20770/8449*c_1100_0^3 + 6568/8449*c_1100_0^2 - 25111/8449*c_1100_0 - 2818/8449, c_1001_1 + 615/8449*c_1100_0^5 - 2606/8449*c_1100_0^4 + 7538/8449*c_1100_0^3 - 4163/8449*c_1100_0^2 + 19645/16898*c_1100_0 + 5617/8449, c_1001_11 + 615/8449*c_1100_0^5 - 2606/8449*c_1100_0^4 + 7538/8449*c_1100_0^3 - 4163/8449*c_1100_0^2 + 19645/16898*c_1100_0 + 5617/8449, c_1100_0^6 - 4*c_1100_0^5 + 10*c_1100_0^4 - c_1100_0^3 + 21/2*c_1100_0^2 + 6*c_1100_0 + 4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_5, c_0101_0, c_0101_11, c_0101_3, c_0101_6, c_1001_0, c_1001_1, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1501244033/3124640*c_1100_0^7 + 86164631/488225*c_1100_0^6 - 27687220821/39058000*c_1100_0^5 - 819308177/9764500*c_1100_0^4 - 31129739979/39058000*c_1100_0^3 - 1558467343/9764500*c_1100_0^2 - 5279567713/19529000*c_1100_0 + 783513099/9764500, c_0011_0 - 1, c_0011_10 - 75775/39058*c_1100_0^7 + 19135/19529*c_1100_0^6 - 150909/39058*c_1100_0^5 + 8001/39058*c_1100_0^4 - 81017/19529*c_1100_0^3 + 2873/19529*c_1100_0^2 - 46847/19529*c_1100_0 + 8538/19529, c_0011_12 + 1, c_0011_3 + c_1100_0, c_0011_5 + 36475/19529*c_1100_0^7 - 75985/39058*c_1100_0^6 + 222559/78116*c_1100_0^5 - 13458/19529*c_1100_0^4 + 27399/19529*c_1100_0^3 - 3829/19529*c_1100_0^2 + 6589/39058*c_1100_0 - 8864/19529, c_0101_0 + 26225/78116*c_1100_0^7 - 53970/19529*c_1100_0^6 + 39369/19529*c_1100_0^5 - 69258/19529*c_1100_0^4 + 1571/39058*c_1100_0^3 - 50866/19529*c_1100_0^2 + 8548/19529*c_1100_0 - 4190/19529, c_0101_11 + 265575/78116*c_1100_0^7 - 22015/19529*c_1100_0^6 + 143821/39058*c_1100_0^5 + 42342/19529*c_1100_0^4 + 108025/39058*c_1100_0^3 + 43208/19529*c_1100_0^2 - 1959/19529*c_1100_0 + 5991/19529, c_0101_3 + 61775/19529*c_1100_0^7 - 169515/39058*c_1100_0^6 + 97094/19529*c_1100_0^5 - 41251/19529*c_1100_0^4 + 45547/19529*c_1100_0^3 - 30257/19529*c_1100_0^2 + 3003/19529*c_1100_0 - 11666/19529, c_0101_6 + 74975/39058*c_1100_0^7 + 14410/19529*c_1100_0^6 + 8341/39058*c_1100_0^5 + 82930/19529*c_1100_0^4 + 34725/19529*c_1100_0^3 + 48876/19529*c_1100_0^2 + 21379/19529*c_1100_0 + 2776/19529, c_1001_0 + 61775/19529*c_1100_0^7 - 169515/39058*c_1100_0^6 + 97094/19529*c_1100_0^5 - 41251/19529*c_1100_0^4 + 45547/19529*c_1100_0^3 - 30257/19529*c_1100_0^2 + 3003/19529*c_1100_0 - 11666/19529, c_1001_1 + 124275/78116*c_1100_0^7 - 77745/78116*c_1100_0^6 + 100667/39058*c_1100_0^5 - 78339/78116*c_1100_0^4 + 62058/19529*c_1100_0^3 - 52133/39058*c_1100_0^2 + 9380/19529*c_1100_0 - 25581/39058, c_1001_11 - 124275/78116*c_1100_0^7 + 77745/78116*c_1100_0^6 - 100667/39058*c_1100_0^5 + 78339/78116*c_1100_0^4 - 62058/19529*c_1100_0^3 + 52133/39058*c_1100_0^2 - 28909/19529*c_1100_0 + 25581/39058, c_1100_0^8 - 4/5*c_1100_0^7 + 44/25*c_1100_0^6 - 12/25*c_1100_0^5 + 44/25*c_1100_0^4 - 8/25*c_1100_0^3 + 16/25*c_1100_0^2 - 8/25*c_1100_0 + 4/25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.290 seconds, Total memory usage: 32.09MB